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Finding the Fourth Proportional to 24,340.96, 36,511.68 and 7,700.68

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Solution

The fourth proportional to 24,340.96, 36,511.68 and 7,700.68 is: 11,551.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,340.96 : 36,511.68 = 7,700.68 : x
  2. Step 2: Convert to fraction form
    24,340.96/36,511.68 = 7,700.68/x
  3. Step 3: Cross multiply
    24,340.96x = 36,511.68 × 7,700.68
  4. Step 4: Simplify right side
    24,340.96x = 281,164,763.94
  5. Step 5: Solve for x
    x = 281,164,763.94/24,340.96
  6. Step 6: Final answer
    x = 11,551.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.